Assessing the performance of quantum annealing with nonlinear driving

Author(s)

Soriani, Artur ; Naze, Pierre ; Bonanca, Marcus V. S. ; Gardas, Bartlomiej ; Deffner, Sebastian

• Document type: Journal article
• Source: PHYSICAL REVIEW A; v. 105, n. 5, p. 9-pg., 2022-05-27.

Abstract

Current-generation quantum annealers have already proven to be successful problem solvers. Yet quantum annealing is still very much in its infancy, with suboptimal applicability. For instance, to date it is still an open question which annealing protocol causes the fewest diabatic excitations for a given eigenspectrum, and even whether there is a universally optimal strategy. Therefore, in this paper, we report analytical and numerical studies of the diabatic excitations arising from nonlinear protocols applied to the transverse field Ising chain, the exactly solvable model that serves as a quantum annealing playground. Our analysis focuses on several driving schemes that inhibit or facilitate the dynamic phases discussed in a previous work. Rather remarkably, we find that the paradigmatic Kibble-Zurek behavior can be suppressed with ???pauses??? in the evolution, both for crossing and for stopping at the quantum critical point of the system. (AU)

• FAPESP's process: 18/21285-7 - Optimization of thermodynamic work with machine learning control
• Grantee: Pierre Marie Antoine Leite Nazé
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• FAPESP's process: 18/06365-4 - Optimization of thermodynamical work in far from equilibrium systems
• Grantee: Pierre Marie Antoine Leite Nazé
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 20/02170-4 - Optimal thermodynamic processes in out-of-equilibrium systems
• Grantee: Marcus Vinicius Segantini Bonança
• Support Opportunities: Regular Research Grants